Prove the Following Statement: the Sum of Any Two Consecutive

question 5

Essay

Prove the following statement: The sum of any two consecutive integers can be written in the form 4n + 1 for some integer n.

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Definitions:

Experiment

A scientific procedure undertaken to make a discovery, test a hypothesis, or demonstrate a known fact through controlled conditions.

Experiment

A procedure carried out to support or refute a hypothesis, often involving the manipulation of variables to observe the effect on some behavior or condition.

Deliberately Exposing

Intentionally subjecting subjects (in an experiment) or oneself to certain conditions or stimuli to observe the effects.

Direct Observation

A method of collecting data by watching subjects in their natural (or controlled) environment without manipulating the situation.